the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?

Help please

Answers

Answer 1

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer 2

Answer:

u,

Step-by-step explanation:


Related Questions

Cierra had $9 to spend on 3 new
pencils for school. After buying
the pencils she had $3.85 left. How
much did she spend on each pencil?
Write an equation to represent
this situation and then solve.

Answers

Answer:

i don't know what the equation would be but hope this helped! 1.72 for each pencil

Step-by-step explanation:

9 - 3.85 = 5.15

5.15/3 = 1.72 for each pencil

Answer:

About $1.72 per pencil

Step-by-step explanation:

1. 9-3.85 = 5.15

2. 5.15/3 = 1.71 2/3 (1.7166666667)

3. $1.72/pencil

whats 8.546 rounded to the nearest one​

Answers

Answer:

9

Step-by-step explanation:

ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same

8.5

5 is 5 or more so you round up

to 9

Write 4h(x) in standard form
What is it in standard form?

Answers

Answer:

The answer is 4 h ( x ).

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

I'm very stuck, is this true? ​

Answers

Answer:

so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality

Step-by-step explanation:

Will Give brainliest plus 25 points

Answers

Plug in -4 for the x value, derive the equation at that value and see if it equals 6. If it equals anything other than 6, the set is not a solution

The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?​

Answers

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

Evaluate the following: −3 − (−8).

Answers

Answer:

5

Step-by-step explanation:

When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.

From here, we have -3+8.

Now we subtract since each value has a different sign and we get +5.

Hope this helps!! :)

Answer:

5

Step-by-step explanation:

-*-=+

-*+=-

+*+=+

-3-(-8)=5

-3+8=5

A corporate team-building event costs $4 for every attendee. How many attendees can
there be, at most, if the budget for the corporate team-building event is $36?

Answers

It would be 9. Because each person has to pay 4$ so 9*4=36 or 36/4=9

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a
quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function.
A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area

Answers

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?​

Answers

Answer:

272 inches squared

Step-by-step explanation:

272 square inches.

Because (2×8×2) + (2×8×12) + (2×2×12)  = 32 + 192 + 48 = 272

x times y equals 45.

What is x and y?

Answers

Answer:

9 and 5

Step-by-step explanation:

There are many answers

Answer:

There could be a different answer but this is what i got.

Step-by-step explanation:

1 x 45,

3 x 15,

or 5 x 9


Using the diagram, determine whether the angles are vertical angles, a linear pair, or neither. (Image is included)

Answers

Answer:

1.linear pair

2. neither

3. vertical

4. neither

5. vertical

6. neither

7. linear pair

8. neither

Step-by-step explanation:

the answers are starting from up to down, not side to side

We have the definitions of the Adjacent angles, linear angles, vertical angles.

Two angles are considered to be adjacent angles when they share a common vertex, a common side, but no common interior pointsWhen two lines intersect each other at a single point, linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear.Two angles are said to be vertical angles when their sides form two pairs of opposite rays (straight lines).

So, from the figure we see that

<1 and <2 are linear pair  <2 and <4 are neither <6 and <8 are vertical <11 and <1 are neither<1 and <3 are vertical <4 and <5 are neither <8 and <9 are linear pair <10 and <7 are neither

Learn more:https://brainly.com/question/3182415

Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are​ different? A. Because of the extremely low p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.

Answers

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

Compute please help

Answers

Answer:

- 3.46 + ( - 4.23 ) = 7.69

- 5.6 + 27.4 = 21.8

A rectangular garden is fenced on all sides with 272 feet of fencing. The garden is 8 feet longer than it is
wide. Find the length and width of the garden.
Pllzzzz help I will mark you as brainliest

Answers

Answer:

it should be 21 x 13

Step-by-step explanation:

. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?

Answers

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

what is the slope of -1,3 and 3,15

Answers

Answer:

3

Step-by-step explanation:

The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation.​

Answers

Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

Solve for x. 4(x+1)= -3x-10

Answers

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

Psychology 101: Is it normal for school age people to have crushes on their teachers or professors?

Answers

Answer:

it is normal, but not right to act upon

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?

Answers

Given parameters:

Distance traveled  = 1778miles

Average speed  = 61.7 miles per hour

Unknown:

Time taken for the travel = ?

Speed is a physical quantity. It is the rate of change of distance with time.

 It can be mathematically expressed as;

           Speed  = [tex]\frac{distance}{time taken}[/tex]

  The unknown here is the time taken;

   Substitute the parameters and solve for it;

      61.7  = [tex]\frac{1778}{ time taken}[/tex]

          time taken  = [tex]\frac{1778}{61.7}[/tex]   = 28.8hrs

The time taken is  28.8hrs

Answer:

the answer for this would be 30 hours.

Step-by-step explanation:

The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?

Answers

Answer:

50$

Step-by-step explanation:

4*5=20

it would be 50$ for 20 golf balls
4 golf balls for 10$ and
4x5=20
so 10$x5= 50$
The answer is 50$

Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?

Answers

Maggie would be 12 years old.

Explanation: math.

Have a good day <3
Maggie would be 12 years old

Find the mass of the object if it has a volume of 20 mL and a density of 3 g/mL.

Answers

Answer:

60 g

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume

Plug in the volume and density, then solve for the mass:

D = m/v

3 = m/20

60 = m

So, the mass is 60 g

Given :

Volume of object = 20 mL

Density of object = 3 g/mL

To Find :

We have to find mass of the object[tex].[/tex]

Solution :

★ Density is defined as the mass of object per unit volume.

It is a scar quantity having only magnitude.

Mathematically, ρ = M/V

ρ denotes densityM denotes massV denotes volume

By substituting the values, we get

⭆ 3 = M/20

⭆ M = 3 × 20

M = 60 g

∴ Mass of the object is 60g.

Hope It Helps!

anyone here in brainly good at math?

Answers

Answer:

3/16 / 5/6 = 9/40

7 / 1/6 = 42

2 1/6 / 1 1/3 = 1  13/20

2 1/7 / 3/28   = 20

1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____

Answers

Opposite value would be either changing from a positive to a negative or from a negative to a positive.

Absolute value is always a positive value

A) 7.2, -7.2, 7.2

B) -3.5, 3.5, 3.5

C) 5 1/2, -5 1/2, 5 1/2

Answer:

-7.2     7.2

3.5      3.5

-5 1/2   5 1/2

Step-by-step explanation:

solve: 1/3-m/2+m/6+7/9

Answers

Answer: −1 /3 m+ 10 /9

Step-by-step explanation:

10/9 - m/3 hope this helps

What is the domain and range of the function?

Answers

Answer: input values for the function.

Step-by-step explanation:

help ASAP. Which relation is a function?​

Answers

Answer:

Top right graph.

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.

Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.

In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed

Answers

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:32-12=20

20+12=32

Other Questions
Find areaof aSector of angle P (in degrees) ofa circlewith radius R ? Company X classifies the total transportation costs paid to deliver goods to customers as a mixed cost with respect to the units sold. During the current year, the units sold have decreased unexpectedly, but are still within the relevant range. Which of the following statement is (are) correct about the transportation costs? Group of answer choices The per unit transportation costs increase as the units sold decrease. The total transportation costs increase proportionally to the decrease of units sold. The per unit variable component of transportation costs remains constant. The per unit transportation costs decrease proportionally to the decrease of units sold. The total transportation costs decrease proportionally to the decrease of units sold. Sydney Retailing (buyer) and Troy Wholesalers (seller) enter into the following transactions.May11 Sydney accepts delivery of $31,500 of merchandise it purchases for resale from Troy: invoice dated May 11; terms 3/10, n/90; FOB shipping point. The goods cost Troy $21,105. Sydney pays $635 cash to Express Shipping for delivery charges on the merchandise.12 Sydney returns $1,500 of the $31,500 of goods to Troy, who receives them the same day and restores them to its inventory. The returned goods had cost Troy $1,005.20 Sydney pays Troy for the amount owed. Troy receives the cash immediately.(Both Sydney and Troy use a perpetual inventory system and the gross method.)1. Prepare journal entries that Sydney Retailing (buyer) records for these three transactions.2. Prepare journal entries that Troy Wholesalers (seller) records for these three transactions. Which quotation from "The Black Cat" best supports the idea that the narrator wants the reader to identify with him and understand him?Who has not, a hundred times, found himself committing a vile or a silly action, for no other reason than because he knows he should not?My original soul seemed,...to take its flight from my body and a more than fiendish malevolence, gin-nurtured, thrilled every fibre of my frame.This latter was a remarkably large and beautiful animal, entirely black, and sagacious to an astonishing degree.I had so much of my old heart left, as to be at first grieved by this evident dislike on the part of a creature which had once so loved me. A que se refiere a la frase "La estadstica es una forma de superar problemas o limitaciones usando medidas cualitativas o cuantitativas" ASAP DOING A TIMED TEST NEED IT NOW !!!!!!!!!!!!! What was the style of the typography used during the Renaissance? *A. SimpleB. Elaborate and ornateC. Typography did not exist in the RenaissanceD. Easy to read What is the value of a? Identify the slope of the line using the 2 points(8,-7), (6,17)12-121212 Please help I will mark brainliest Additive inverse of 0.25 Which of the following statements is trueabout exocytosis?a. Help intake large material into the cellb. Form of active transportC. Occurs without help of cell organelled. It does not require energy PLEASE HELP!! 12 POINTS!!2. (2, 0) and (0, 3) The equation for these ordered pairs is y = 3/2x + 3A. TrueB. False Which statement about lunar eclipses is false? a. They can be seen from any place with a view of the moon.b. They cause the moon to disappear completely.c. They occur at least twice a year.d. They may last for hours. How many beats does a half rest get? I give out brainliest Ser or Estar? Fill in the correct blanks below Explain if the myth of Columbus is worth keeping OR should we tell the story of Bartolome De Las Casas? -ILL GIVE BRAINLIEST TO THE FIRST PERSON WHO ANSWERS IT- what is the slope of the line that passes through (5,0) and (-4,0) Sophia has fabric to make banners for school she needs 1 and 1/4 yards of fabric for each Banner she has made 4 banners and has 2 and a 1/2 yards of fabric left over how much fabric did she begin with Choose the slope and y-intercept thatcorrespond with the graph.HELPPP!!!!!! What value is equivalent to 52 + 53 54?